Tomáš Bodnár
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View article: New parametric computational test case for automated design and analysis of an axial blood pump
New parametric computational test case for automated design and analysis of an axial blood pump Open
The paper presents a new fully parametric geometrical model of a ventricular assist device (VAD) together with an example of a comprehensive automated workflow integrating multidisciplinary tools for geometrical design, fluid dynamic asses…
View article: On the analysis of the symmetrized mass-diffusive model for compressible fluids flows
On the analysis of the symmetrized mass-diffusive model for compressible fluids flows Open
This paper presents a brief analytical and numerical comparison of the compressible Navier–Stokes model and the alternative mass-diffusive models. New symmetrized mass-diffusive model is introduced and discussed in detail. Both the numeric…
View article: Numerical simulations of human respiratory flows: a review
Numerical simulations of human respiratory flows: a review Open
This paper presents an overview of selected past and recent works on mathematical modeling and numerical simulations in respiratory fluid mechanics. The primary aim of this review is to systematically review, categorize and assess the stat…
View article: Computational assessment of mass-diffusive compressible fluids flows models
Computational assessment of mass-diffusive compressible fluids flows models Open
This paper deals with the numerical simulations using novel, non-standard models applicable to flow of compressible viscous fluid. Instead of the classical compressible Navier-Stokes-Fourier system, two other variants and approximations ar…
View article: Numerical Study of the Steady Airflow in the Human Respiratory System During Inhaling and Exhaling
Numerical Study of the Steady Airflow in the Human Respiratory System During Inhaling and Exhaling Open
This paper presents some of the initial results of the numerical simulations of a steady turbulent flow in human upper airways during inhalation and exhalation. The mathematical model is based on the system of Reynolds-Averaged incompressi…
View article: Numerical Evaluation of Mass-Diffusive Compressible Fluids Flows Models
Numerical Evaluation of Mass-Diffusive Compressible Fluids Flows Models Open
This contribution presents first numerical tests of some recently published alternative models for solution of viscous compressible and nearly incompressible models. All models are solved by high resolution compact finite difference scheme…
View article: Validation of numerical simulations of a simple immersed boundary solver for fluid flow in branching channels
Validation of numerical simulations of a simple immersed boundary solver for fluid flow in branching channels Open
This work deals with the flow of incompressible viscous fluids in a two-dimensional branching channel. Using the immersed boundary method, a new finite difference solver was developed to interpret the channel geometry. The numerical result…
View article: Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations Open
Two different methods of artificial diffusion stabilization of the numerical simulations of steady Oldroyd-B fluids flows are presented. They are based on the idea of vanishing in time added stabilization terms which are only present durin…
View article: On the 2D-1D Coupling in Numerical Simulations of Simplified Air Flow Model in Human Airways
On the 2D-1D Coupling in Numerical Simulations of Simplified Air Flow Model in Human Airways Open
This paper presents selected results regarding the implementation, validation and testing of a simple 2D-1D coupled model designed to capture some essential features of the oscillatory air flow in human respiratory system.The model relies …
View article: Simulations of Johnson-Segalman viscoelastic fluids flows in shear-thinning regime
Simulations of Johnson-Segalman viscoelastic fluids flows in shear-thinning regime Open
This paper presents selected numerical simulations performed using Johnson–Segalman model with specific setting of the convected derivative resulting in shear-thinning behavior of the model. The results are compared with the generalized Ol…
View article: Closure scheme for stably stratified turbulence without critical Richardson number
Closure scheme for stably stratified turbulence without critical Richardson number Open
This paper presents a new modification of the second order turbulence closure that removes the critical gradient Richardson number limitation typically found in Mellor-Yamada style models. The mean wind speed and potential temperature prof…
View article: Temporal Artificial Stress Diffusion for Numerical Simulations of Oldroyd-B Fluid Flow
Temporal Artificial Stress Diffusion for Numerical Simulations of Oldroyd-B Fluid Flow Open
This paper presents a numerical evaluation of two different artificial stress diffusion techniques for the stabilization of viscoelastic Oldroyd-B fluid flows at high Weissenberg numbers. The standard artificial diffusion in the form of a …
View article: Analysis of the Shear-Thinning Viscosity Behavior of the Johnson–Segalman Viscoelastic Fluids
Analysis of the Shear-Thinning Viscosity Behavior of the Johnson–Segalman Viscoelastic Fluids Open
This paper presents a numerical comparison of viscoelastic shear-thinning fluid flow using a generalized Oldroyd-B model and Johnson–Segalman model under various settings. Results for the standard shear-thinning generalization of Oldroyd-B…
View article: Numerical Assessment of Stratification Influence in Simple Algebraic Turbulence Model
Numerical Assessment of Stratification Influence in Simple Algebraic Turbulence Model Open
This paper presents rst few results obtained using a newly developed test code aimed at validation and cross-comparison of turbulence models to be applied in environmental flows. A simple code based on nite di erence discretization is cons…
View article: Numerical Validation of a Simple Immersed Boundary Solver for Branched Channels Simulations
Numerical Validation of a Simple Immersed Boundary Solver for Branched Channels Simulations Open
This contribution reports on an ongoing study of incompressible viscous fluid flow in two dimensional branched channels. A new finite difference solver was developed using a simple implementation of an immersed boundary method to represent…
View article: MODIFIED EQUATION FOR A CLASS OF EXPLICIT AND IMPLICIT SCHEMES SOLVING ONE-DIMENSIONAL ADVECTION PROBLEM
MODIFIED EQUATION FOR A CLASS OF EXPLICIT AND IMPLICIT SCHEMES SOLVING ONE-DIMENSIONAL ADVECTION PROBLEM Open
This paper presents the general modified equation for a family of finite-difference schemes solving one-dimensional advection equation. The whole family of explicit and implicit schemes working at two time-levels and having three point spa…
View article: Second-Order Model for Atmospheric Turbulence without Critical Richardson Number
Second-Order Model for Atmospheric Turbulence without Critical Richardson Number Open
The purpose of this communication is to present a derivation of the non-dimensional vertical gradients of the mean wind speed and mean potential temperature expressed in terms of the so-called similarity functions for very stable condition…
View article: Steady Incompressible Flow through a Branched Channel
Steady Incompressible Flow through a Branched Channel Open
This contribution presents some of the first results of a newly developed simple numerical solver aimed to study the flow properties and behavior in branching channel.The 2D incompressible fluid flow is simulated using Navier Stokes equati…
View article: Numerical Tests of Vanishing Diffusion Stabilization in Oldroyd-B Fluid Flow Simulations
Numerical Tests of Vanishing Diffusion Stabilization in Oldroyd-B Fluid Flow Simulations Open
This work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluids flows, using different types of numerical stabilization. In this study the diffusive term (Laplacian of extra stress) is added to the ten…
View article: Numerical evaluation of artificial boundary condition for wall-bounded stably stratified flows
Numerical evaluation of artificial boundary condition for wall-bounded stably stratified flows Open
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View article: On the Influence of Diffusion Stabilization in Oldroyd-B Fluid Flow Simulations
On the Influence of Diffusion Stabilization in Oldroyd-B Fluid Flow Simulations Open
This work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluid flows. The effect of numerical stabilization using arti cial stress diffusion is investigated in detail. The limits of Weissenberg number …